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"It's unfortunate (they) are at odds over their position regarding the member for Cook - what has fallen through the cracks are the real victims in this scenario," Deputy Opposition Leader John-Paul Langbroek said.

But Labor says the political back-and-forth over Mr Gordon, as well as other MPs' past indiscretions, are just a dethroned government trying to get even.

"(Lawrence Springborg) was a wrecker in government and he's a wrecker in opposition," Police Minister Jo-Ann Miller said.

Ms Miller stressed the state still had a functioning, stable government under Ms Palaszczuk and appealed to the KAP MPs - who have again emerged as potential kingmakers - to see through the LNP's attacks.

For their part, the KAP duo have recycled their post-election mantra to champion regional interests and are in no rush to make a decision until parliament next sits on May 5.

Mr Katter said there were no deal-breakers with the government and KAP planned to work with Mr Gordon on the cross bench "as long as he remains there".

He said Mr Gordon deserved his right to natural justice and shouldn't be pre-emptively judged.

The Queensland Council for Civil Liberties agreed and said most of his criminal history was for minor matters.

And fresh domestic abuse claims needed to be found to be proven, president Michael Cope said.